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Graphing
Measurement
Equipment Needed
Dell Laptop Computer
AC Adapter, Dell Laptop
Cylinder Set, Specific Heat (w/hook)
Discover QUOTE Set, Pasco ME6819A
Balance, Scout Ohaus SKX6201
Balance, Digital Sartorious BP-6100
Calipers, Digital General
Part 1: SIGNIFICANT FIGURES
How many significant figures are in each of the following?
27,316 5
239,000 _________
509.02 _________
0.04860 _________
Write the following numbers to 3 significant figures:
8.1273 8.13
507.3 _________
0.00123 _________
0.00310 _________
473,128 _________
4010 _________
50,000 _________
90012 _________
Multiply the following numbers and write the answer to the proper significant figures.
EMBED Equation.DSMT4 _________
EMBED Equation.DSMT4 _________
EMBED Equation.DSMT4 _________
EMBED Equation.DSMT4 _________
Divide the following and write the answer with the proper significant figures.
EMBED Equation.DSMT4 _________
EMBED Equation.DSMT4 _________
EMBED Equation.DSMT4 _________
Add the following numbers and write your answers with the proper significant figures.
EMBED Equation.DSMT4 _________
EMBED Equation.DSMT4 _________
EMBED Equation.DSMT4 _________
Subtract the following numbers and write your answers with the proper significant figures.
EMBED Equation.DSMT4 _________
EMBED Equation.DSMT4 _________
EMBED Equation.DSMT4 _________
Evaluate the following to the proper number of significant figures:
QUOTE
Part 2: Finding QUOTE with GRAPHING
DISCUSSION
A scientific experiment usually involves changing one physical quantity and observing the result on a second physical quantity. The physical quantity, which is changed by the experimenter, is called the independent variable while the one, which responds to the change, is called the dependent variable. For example, if the experimenter were to drop a ball from different heights and observe the velocity when the ball hits the ground, the independent variable would be the heights, and the dependent variable would be the velocities. The measurements made are displayed in the form of a table. Usually, it is easier to determine the relationship between the variables visually in the form of a graph rather than from a table. If the relationship between the variable is a direct proportion, the graph will be a straight line and is said to be linear. When a nonlinear graph is obtained, it is possible to reduce it to a linear graph by manipulating the equation and plotting different powers of the variables.
Note: This may be done using Microsoft Excel.
What is the relationship between the circumference and diameter of a circle? Is the ratio of circumference to diameter different for different-sized circles?
In this experiment, you will measure the circumference and diameter of four different circles and make a graph of circumference versus diameter.
Part 2: Finding QUOTE Using a Graph
PROCEDURE
Use the Discover " S e t . S l i p t h e f o l d e d e n d o f t h e m e a s u r i n g t a p e i n t o t h e s l o t o n t h e s i d e o f o n e o f t h e d i s k s . I t i s b e s t t o s t a r t w i t h t h e l a r g e s t d i s k .
W r a p t h e t a p e o n c e a r o u n d t h e d i s k s o t h a t i t o v e r l a p s t h e z e r o - l i n e m a r k e r .
R e c o r d t h e c i r c u m f e r e n c e i n t h e t a b l e .
Measure the diameter along the line marked on the face of the disk. Record the diameter in the table.
Repeat steps 1-4 for the other disks.
Data Table 1
Disk NumberCircumferenceDiameter4321
Analysis
Use your measurements from all four disks to make a graph. Microsoft Excel is on the laptop computer supplied. Plot circumference on the vertical axis and diameter on the horizontal axis.
Place an appropriate fit on the graph.
Show the trendline equation.
Questions
Write an equation for your graph.
Relate your equation to the trendline equation on the graph.
What is the physical meaning of the slope of your graph?
What is the physical meaning of the vertical intercept of your graph?
Part 3: MeasurementDigital Calipers
Use a digital caliper to measure the height H and diameter D of four cylinders (Dont use lead.)
Enter your results Table 2 using both ( QUOTE ) and ( QUOTE ).
Table 2
CylinderHeight (H)Diameter (S)1 QUOTE QUOTE QUOTE QUOTE 2 QUOTE QUOTE QUOTE QUOTE 3 QUOTE QUOTE QUOTE QUOTE 4 QUOTE QUOTE QUOTE QUOTE
Calculate the radius of each disc.
QUOTE
Calculate the volume of each disc.
QUOTE
Enter your results in Table 3 using both ( QUOTE ) and ( QUOTE ) using proper significant figures.
Table 3
CylinderRadius (r)Volume (V)1 QUOTE QUOTE QUOTE QUOTE 2 QUOTE QUOTE QUOTE QUOTE 3 QUOTE QUOTE QUOTE QUOTE 4 QUOTE QUOTE QUOTE QUOTE
Use one of the balances on the side bar to determine the mass m of the cylinders above. Write these in both grams (g) and kilograms (kg) in Table 4.
Calculate the density and enter in Table 4.
QUOTE
(Greek letter rho pronounced like row) of each cylinder.
Write the densities in both sets of units (g/cm3 and kg/m3).
Table 4
CylinderMass (m)Density ( QUOTE )1 QUOTE QUOTE QUOTE QUOTE 2 QUOTE QUOTE QUOTE QUOTE 3 QUOTE QUOTE QUOTE QUOTE 4 QUOTE QUOTE QUOTE QUOTE
Determine what elements you have in the cylinders.
Calculate the percent error from accepted norms and show in Table 5.
QUOTE
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15 ? @ A B C D E F G H I J K L M N O P Q R S T U V W X Y [ \ ] ^ _ ` a b c d e f g h i j k l m n o p q r s t u v w x y z { | } ~ ss"/>m ( b 8 iv߱.seH/ n iv߱.seH/PNG
IHDR
e sRGB pHYs t tf x IDAT(Sݒ0Yԃ ӬtN` gz'/ lMNS]RЩ' M_. <d3ahY
1\] i-{'ܳNxw8 /zy\S| F=@6G䲐?q IENDB` $$If !v h#v #v:V l h
t 0 6, ,5 5ap2 ytP D d
*
3 A " ì
15cm ) b d <|x2s#? @ 4 n 8 <|x2s#?PNG
IHDR ԲiG sRGB pHYs t tf x IDAT8O퓱0 Emf
Y'^ {LїlpH })zRF/5`VKX )dշ"%F)HJp(Pz #s"[ fD1wJVͼiNk'|MtJ/]B)\1Efv!rxXɉP}iU5]Opc' mT IENDB` D d
+
3 A " ì
15cm * b d <|x2s#? @ n 8 <|x2s#?PNG
IHDR ԲiG sRGB pHYs t tf x IDAT8O퓱0 Emf
Y'^ {LїlpH })zRF/5`VKX )dշ"%F)HJp(Pz #s"[ fD1wJVͼiNk'|MtJ/]B)\1Efv!rxXɉP}iU5]Opc' mT IENDB`{ D d
,
3 A " ë
15m + b 8 iv߱.seH/ n iv߱.seH/PNG
IHDR
e sRGB pHYs t tf x IDAT(Sݒ0Yԃ ӬtN` gz'/ lMNS]RЩ' M_. <d3ahY
1\] i-{'ܳNxw8 /zy\S| F=@6G䲐?q IENDB`{ D d
-
3 A " ë
15m , b 8 iv߱.seH/ n iv߱.seH/PNG
IHDR
e sRGB pHYs t tf x IDAT(Sݒ0Yԃ ӬtN` gz'/ lMNS]RЩ' M_. <d3ahY
1\] i-{'ܳNxw8 /zy\S| F=@6G䲐?q IENDB` D d
.
3 A " ì
15cm - b d <|x2s#? @ z n 8 <|x2s#?PNG
IHDR ԲiG sRGB pHYs t tf x IDAT8O퓱0 Emf
Y'^ {LїlpH })zRF/5`VKX )dշ"%F)HJp(Pz #s"[ fD1wJVͼiNk'|MtJ/]B)\1Efv!rxXɉP}iU5]Opc' mT IENDB` D d
/
3 A " ì
15cm . b d <|x2s#? @ "0 n 8 <|x2s#?PNG
IHDR ԲiG sRGB pHYs t tf x IDAT8O퓱0 Emf
Y'^ {LїlpH })zRF/5`VKX )dշ"%F)HJp(Pz #s"[ fD1wJVͼiNk'|MtJ/]B)\1Efv!rxXɉP}iU5]Opc' mT IENDB`{ D d
0
3 A " ë
15m / b 8 iv߱.seH/ F n iv߱.seH/PNG
IHDR
e sRGB pHYs t tf x IDAT(Sݒ0Yԃ ӬtN` gz'/ lMNS]RЩ' M_. <d3ahY
1\] i-{'ܳNxw8 /zy\S| F=@6G䲐?q IENDB`{ D d
1
3 A " ë
15m 0 b 8 iv߱.seH/ E] n iv߱.seH/PNG
IHDR
e sRGB pHYs t tf x IDAT(Sݒ0Yԃ ӬtN` gz'/ lMNS]RЩ' M_. <d3ahY
1\] i-{'ܳNxw8 /zy\S| F=@6G䲐?q IENDB` $$If !v h#v #v:V l h
t 0 6, ,5 5ap2 ytP D d
2
3 A " ì
15cm 1 b d <|x2s#? @ t n 8 <|x2s#?PNG
IHDR ԲiG sRGB pHYs t tf x IDAT8O퓱0 Emf
Y'^ {LїlpH })zRF/5`VKX )dշ"%F)HJp(Pz #s"[ fD1wJVͼiNk'|MtJ/]B)\1Efv!rxXɉP}iU5]Opc' mT IENDB` D d
3
3 A " ì
15cm 2 b d <|x2s#? @ 5 n 8 <|x2s#?PNG
IHDR ԲiG sRGB pHYs t tf x IDAT8O퓱0 Emf
Y'^ {LїlpH })zRF/5`VKX )dշ"%F)HJp(Pz #s"[ fD1wJVͼiNk'|MtJ/]B)\1Efv!rxXɉP}iU5]Opc' mT IENDB`{ D d
4
3 A " ë
15m 3 b 8 iv߱.seH/ ݡ n iv߱.seH/PNG
IHDR
e sRGB pHYs t tf x IDAT(Sݒ0Yԃ ӬtN` gz'/ lMNS]RЩ' M_. <d3ahY
1\] i-{'ܳNxw8 /zy\S| F=@6G䲐?q IENDB`{ D d
5
3 A " ë
15m 4 b 8 iv߱.seH/ X n iv߱.seH/PNG
IHDR
e sRGB pHYs t tf x IDAT(Sݒ0Yԃ ӬtN` gz'/ lMNS]RЩ' M_. <d3ahY
1\] i-{'ܳNxw8 /zy\S| F=@6G䲐?q IENDB` D d
6
3 A " ì
15cm 5 b d <|x2s#? @ n 8 <|x2s#?PNG
IHDR ԲiG sRGB pHYs t tf x IDAT8O퓱0 Emf
Y'^ {LїlpH })zRF/5`VKX )dշ"%F)HJp(Pz #s"[ fD1wJVͼiNk'|MtJ/]B)\1Efv!rxXɉP}iU5]Opc' mT IENDB` D d
7
3 A " ì
15cm 6 b d <|x2s#? @ { n 8 <|x2s#?PNG
IHDR ԲiG sRGB pHYs t tf x IDAT8O퓱0 Emf
Y'^ {LїlpH })zRF/5`VKX )dշ"%F)HJp(Pz #s"[ fD1wJVͼiNk'|MtJ/]B)\1Efv!rxXɉP}iU5]Opc' mT IENDB`{ D d
8
3 A " ë
15m 7 b 8 iv߱.seH/ # n iv߱.seH/PNG
IHDR
e sRGB pHYs t tf x IDAT(Sݒ0Yԃ ӬtN` gz'/ lMNS]RЩ' M_. <d3ahY
1\] i-{'ܳNxw8 /zy\S| F=@6G䲐?q IENDB`{ D d
9
3 A " ë
15m 8 b 8 iv߱.seH/ n iv߱.seH/PNG
IHDR
e sRGB pHYs t tf x IDAT(Sݒ0Yԃ ӬtN` gz'/ lMNS]RЩ' M_. <d3ahY
1\] i-{'ܳNxw8 /zy\S| F=@6G䲐?q IENDB` $$If !v h#v #v:V l h
t 0 6, ,5 5ap2 ytP > D d
(
:
3 A " Õ
15r=D2 9 b yق̉ rjmOF ) n yق̉ rjmOFPNG
IHDR . " | sRGB pHYs t tf x yIDATXGq0 Mj!
rK r`+܋cvaי 2OxX_9zǰMYUUc{EzuVlg7o47 Ia8' }xq8§ D d
(
;
3 A " Õ
15r=D2 : b yق̉ rjmOF $C n yق̉ rjmOFPNG
IHDR . " | sRGB pHYs t tf x yIDATXGq0 Mj!
rK r`+܋cvaי 2OxX_9zǰMYUUc{EzuVlg7o47 Ia8' }xq8§
15V=πr2H ; b 81_&R b\ n 81_&RPNG
IHDR V f sRGB pHYs t tf x 2IDATXGX;R09 p@CEK'p:>A"]V [7&Rgx5{vrҶ-9o8o~`̳DYWq`)E7
E`IN VyrKXv,iiG#Hh ;
$REBP #)cQN(kz7h
`bAJ
=$1Q.?%YMQMDu_?G(p"!2L'm 古]K.d꺦,ǎH_R`ӍTIcx"23)[AӢ`k4? ~CmeM1L$E~QMݒÝ
15V=πr2H < b 81_&R v n 81_&RPNG
IHDR V f sRGB pHYs t tf x 2IDATXGX;R09 p@CEK'p:>A"]V [7&Rgx5{vrҶ-9o8o~`̳DYWq`)E7
E`IN VyrKXv,iiG#Hh ;
$REBP #)cQN(kz7h
`bAJ
=$1Q.?%YMQMDu_?G(p"!2L'm 古]K.d꺦,ǎH_R`ӍTIcx"23)[AӢ`k4? ~CmeM1L$E~QMݒÝ
3 A " ×
15cm = b Z V]_ptR x n p Z V]_ptRPNG
IHDR G sRGB pHYs t tf x IDATHKTK0 Ϣ. OО )[q! )28,^&|l=ۭGELzJl[]d L^Z#YYhI6$Ȋ1 Y2}xׂEH9QZ+z 8: \ SBIuxD* dsA -c)BUC|Y>w9|ܻo_]LAkۦ (q^6 K?1ŐVO&㈗ũ>+~; F}JP)3 IENDB` D d
8
?
3 A " ×
15 ? @ A B C D E F G H I J K L M N O P Q R S T U V W X Y Z [ ] ^ _ ` a b c d e f g h i j k l m n o p q r s t u v w x y z { | } ~ VerticalDrawingGridEvery w:val="0"/>cm > b Z V]_ptR x _ n p Z V]_ptRPNG
IHDR G sRGB pHYs t tf x IDATHKTK0 Ϣ. OО )[q! )28,^&|l=ۭGELzJl[]d L^Z#YYhI6$Ȋ1 Y2}xׂEH9QZ+z 8: \ SBIuxD* dsA -c)BUC|Y>w9|ܻo_]LAkۦ (q^6 K?1ŐVO&㈗ũ>+~; F}JP)3 IENDB` D d
@
3 A " Ö
15m ? b a TȺ" vʣ = * n 5 TȺ" vʣPNG
IHDR bV3 sRGB pHYs t tf x IDAT8OS! kQ@ެ"4 XA%&59 vy6hVJ>Aq&VsCO'X{ 1t 1\ ю!эvM4 ,IPv >IiAmGJi^rbqQ<U|T7 w @muqXpcc IENDB` D d
A
3 A " Ö
15m @ b a TȺ" vʣ = n 5 TȺ" vʣPNG
IHDR bV3 sRGB pHYs t tf x IDAT8OS! kQ@ެ"4 XA%&59 vy6hVJ>Aq&VsCO'X{ 1t 1\ ю!эvM4 ,IPv >IiAmGJi^rbqQ<U|T7 w @muqXpcc IENDB` $$If !v h#v #v:V l h
t 0 6, 5 5ap ytP D d
B
3 A " ì
15cm A b d <|x2s#? @ n 8 <|x2s#?PNG
IHDR ԲiG sRGB pHYs t tf x IDAT8O퓱0 Emf
Y'^ {LїlpH })zRF/5`VKX )dշ"%F)HJp(Pz #s"[ fD1wJVͼiNk'|MtJ/]B)\1Efv!rxXɉP}iU5]Opc' mT IENDB` D d
C
3 A " ì
15cm B b d <|x2s#? @ n 8 <|x2s#?PNG
IHDR ԲiG sRGB pHYs t tf x IDAT8O퓱0 Emf
Y'^ {LїlpH })zRF/5`VKX )dշ"%F)HJp(Pz #s"[ fD1wJVͼiNk'|MtJ/]B)\1Efv!rxXɉP}iU5]Opc' mT IENDB`{ D d
D
3 A " ë
15m C b 8 iv߱.seH/ K n iv߱.seH/PNG
IHDR
e sRGB pHYs t tf x IDAT(Sݒ0Yԃ ӬtN` gz'/ lMNS]RЩ' M_. <d3ahY
1\] i-{'ܳNxw8 /zy\S| F=@6G䲐?q IENDB`{ D d
E
3 A " ë
15m D b 8 iv߱.seH/ 0 n iv߱.seH/PNG
IHDR
e sRGB pHYs t tf x IDAT(Sݒ0Yԃ ӬtN` gz'/ lMNS]RЩ' M_. <d3ahY
1\] i-{'ܳNxw8 /zy\S| F=@6G䲐?q IENDB` D d
D
F
3 A "J D
15cm3 E b &B>
IÀ\Þ AG n &B>
IÀ\ÞPNG
IHDR %2 sRGB pHYs t tf x IDAT8OSq bqAw ЎM u
<~z!wi & ɽetY Zo1Y'c(u.\ %+ɹ ܩ$^cQp*tA N)Zibl1YvL+f_[1`ijpDA:*+uT܇C oCѭL,S [_]r?(]4~],?8:{+>nYjSDE*U "wmܹ Lb #5shW9
љr[ IENDB` D d
D
G
3 A "J D
15cm3 F b &B>
IÀ\Þ _ n &B>
IÀ\ÞPNG
IHDR %2 sRGB pHYs t tf x IDAT8OSq bqAw ЎM u
<~z!wi & ɽetY Zo1Y'c(u.\ %+ɹ ܩ$^cQp*tA N)Zibl1YvL+f_[1`ijpDA:*+uT܇C oCѭL,S [_]r?(]4~],?8:{+>nYjSDE*U "wmܹ Lb #5shW9
љr[ IENDB`g D d
H
3 A "I C
15m3 G b ~r9Ҥ;( h ix n ` ~r9Ҥ;(PNG
IHDR ԲiG sRGB pHYs t tf x IDAT8OŒ0 ÊSpL`6HzFׁ6#c6` E] I6!\hpY" grHfߔ*M9sٍP9 2vMGZk]d B.H*uVhQ@7,MYSbNtE&pEpNL&sqAIUG
+=} <,4eھkK CP\حM$U㡅N}\Zo"~z )Xl -:a߂aJk IENDB`g D d
I
3 A "I C
15m3 H b ~r9Ҥ;( h А n ` ~r9Ҥ;(PNG
IHDR ԲiG sRGB pHYs t tf x IDAT8OŒ0 ÊSpL`6HzFׁ6#c6` E] I6!\hpY" grHfߔ*M9sٍP9 2vMGZk]d B.H*uVhQ@7,MYSbNtE&pEpNL&sqAIUG
+=} <,4eھkK CP\حM$U㡅N}\Zo"~z )Xl -:a߂aJk IENDB` $$If !v h#v #v:V l h
t 0 6, ,5 5ap2 ytP D d
J
3 A " ì
15cm I b d <|x2s#? @ n 8 <|x2s#?PNG
IHDR ԲiG sRGB pHYs t tf x IDAT8O퓱0 Emf
Y'^ {LїlpH })zRF/5`VKX )dշ"%F)HJp(Pz #s"[ fD1wJVͼiNk'|MtJ/]B)\1Efv!rxXɉP}iU5]Opc' mT IENDB` D d
K
3 A " ì
15cm J b d <|x2s#? @ n 8 <|x2s#?PNG
IHDR ԲiG sRGB pHYs t tf x IDAT8O퓱0 Emf
Y'^ {LїlpH })zRF/5`VKX )dշ"%F)HJp(Pz #s"[ fD1wJVͼiNk'|MtJ/]B)\1Efv!rxXɉP}iU5]Opc' mT IENDB`{ D d
L
3 A " ë
15m K b 8 iv߱.seH/ T n iv߱.seH/PNG
IHDR
e sRGB pHYs t tf x IDAT(Sݒ0Yԃ ӬtN` gz'/ lMNS]RЩ' M_. <d3ahY
1\] i-{'ܳNxw8 /zy\S| F=@6G䲐?q IENDB`{ D d
M
3 A " ë
15m L b 8 iv߱.seH/ n iv߱.seH/PNG
IHDR
e sRGB pHYs t tf x IDAT(Sݒ0Yԃ ӬtN` gz'/ lMNS]RЩ' M_. <d3ahY
1\] i-{'ܳNxw8 /zy\S| F=@6G䲐?q IENDB` D d
D
N
3 A "J D
15cm3 M b &B>
IÀ\Þ J n &B>
IÀ\ÞPNG
IHDR %2 sRGB pHYs t tf x IDAT8OSq bqAw ЎM u
<~z!wi & ɽetY Zo1Y'c(u.\ %+ɹ ܩ$^cQp*tA N)Zibl1YvL+f_[1`ijpDA:*+uT܇C oCѭL,S [_]r?(]4~],?8:{+>nYjSDE*U "wmܹ Lb #5shW9
љr[ IENDB` D d
D
O
3 A "J D
15cm3 N b &B>
IÀ\Þ n &B>
IÀ\ÞPNG
IHDR %2 sRGB pHYs t tf x IDAT8OSq bqAw ЎM u
<~z!wi & ɽetY Zo1Y'c(u.\ %+ɹ ܩ$^cQp*tA N)Zibl1YvL+f_[1`ijpDA:*+uT܇C oCѭL,S [_]r?(]4~],?8:{+>nYjSDE*U "wmܹ Lb #5shW9
љr[ IENDB`g D d
P
3 A "I C
15m3 O b ~r9Ҥ;( h r5 n ` ~r9Ҥ;(PNG
IHDR ԲiG sRGB pHYs t tf x IDAT8OŒ0 ÊSpL`6HzFׁ6#c6` E] I6!\hpY" grHfߔ*M9sٍP9 2vMGZk]d B.H*uVhQ@7,MYSbNtE&pEpNL&sqAIUG
+=} <,4eھkK CP\حM$U㡅N}\Zo"~z )Xl -:a߂aJk IENDB`g D d
Q
3 A "I C
15m3 P b ~r9Ҥ;( h M n ` ~r9Ҥ;(PNG
IHDR ԲiG sRGB pHYs t tf x IDAT8OŒ0 ÊSpL`6HzFׁ6#c6` E] I6!\hpY" grHfߔ*M9sٍP9 2vMGZk]d B.H*uVhQ@7,MYSbNtE&pEpNL&sqAIUG
+=} <,4eھkK CP\حM$U㡅N}\Zo"~z )Xl -:a߂aJk IENDB` $$If !v h#v #v:V l h
t 0 6, ,5 5ap2 ytP D d
R
3 A " ì
15cm Q b d <|x2s#? @
g n 8 <|x2s#?PNG
IHDR ԲiG sRGB pHYs t tf x IDAT8O퓱0 Emf
Y'^ {LїlpH })zRF/5`VKX )dշ"%F)HJp(Pz #s"[ fD1wJVͼiNk'|MtJ/]B)\1Efv!rxXɉP}iU5]Opc' mT IENDB` D d
S
3 A " ì
15cm R b d <|x2s#? @ } n 8 <|x2s#?PNG
IHDR ԲiG sRGB pHYs t tf x IDAT8O퓱0 Emf
Y'^ {LїlpH })zRF/5`VKX )dշ"%F)HJp(Pz #s"[ fD1wJVͼiNk'|MtJ/]B)\1Efv!rxXɉP}iU5]Opc' mT IENDB`{ D d
T
3 A " ë
15m S b 8 iv߱.seH/ ] n iv߱.seH/PNG
IHDR
e sRGB pHYs t tf x IDAT(Sݒ0Yԃ ӬtN` gz'/ lMNS]RЩ' M_. <d3ahY
1\] i-{'ܳNxw8 /zy\S| F=@6G䲐?q IENDB`{ D d
U
3 A " ë
? @ A B C D E F G H I J K L M N O P Q R S T U V W X Y Z [ \ ] _ ` a b c d e f g h i j k l m n o p q r s t u v w x y z { | } ~ oft.com/office/word/2006/wordml" xmlns:wsp="http://schemas.microsoft.com/office/word/2003/wordml/sp2" xmlns:sl="http://schemas.microsoft.com/schemaLibrary/2003/core" w:macrosPresent="no" w:embeddedObjPresent="no" w:ocxPresent="no" xml:space="preserve">15m T b 8 iv߱.seH/ ت n iv߱.seH/PNG
IHDR
e sRGB pHYs t tf x IDAT(Sݒ0Yԃ ӬtN` gz'/ lMNS]RЩ' M_. <d3ahY
1\] i-{'ܳNxw8 /zy\S| F=@6G䲐?q IENDB` D d
D
V
3 A "J D
15cm3 U b &B>
IÀ\Þ S n &B>
IÀ\ÞPNG
IHDR %2 sRGB pHYs t tf x IDAT8OSq bqAw ЎM u
<~z!wi & ɽetY Zo1Y'c(u.\ %+ɹ ܩ$^cQp*tA N)Zibl1YvL+f_[1`ijpDA:*+uT܇C oCѭL,S [_]r?(]4~],?8:{+>nYjSDE*U "wmܹ Lb #5shW9
љr[ IENDB` D d
D
W
3 A "J D
15cm3 V b &B>
IÀ\Þ n &B>
IÀ\ÞPNG
IHDR %2 sRGB pHYs t tf x IDAT8OSq bqAw ЎM u
<~z!wi & ɽetY Zo1Y'c(u.\ %+ɹ ܩ$^cQp*tA N)Zibl1YvL+f_[1`ijpDA:*+uT܇C oCѭL,S [_]r?(]4~],?8:{+>nYjSDE*U "wmܹ Lb #5shW9
љr[ IENDB`g D d
X
3 A "I C
15m3 W b ~r9Ҥ;( h { n ` ~r9Ҥ;(PNG
IHDR ԲiG sRGB pHYs t tf x IDAT8OŒ0 ÊSpL`6HzFׁ6#c6` E] I6!\hpY" grHfߔ*M9sٍP9 2vMGZk]d B.H*uVhQ@7,MYSbNtE&pEpNL&sqAIUG
+=} <,4eھkK CP\حM$U㡅N}\Zo"~z )Xl -:a߂aJk IENDB`g D d
Y
3 A "I C
15m3 X b ~r9Ҥ;( h
n ` ~r9Ҥ;(PNG
IHDR ԲiG sRGB pHYs t tf x IDAT8OŒ0 ÊSpL`6HzFׁ6#c6` E] I6!\hpY" grHfߔ*M9sٍP9 2vMGZk]d B.H*uVhQ@7,MYSbNtE&pEpNL&sqAIUG
+=} <,4eھkK CP\حM$U㡅N}\Zo"~z )Xl -:a߂aJk IENDB` $$If !v h#v #v:V l h
t 0 6, ,5 5ap2 ytP D d
Z
3 A " ì
15cm Y b d <|x2s#? @ $ n 8 <|x2s#?PNG
IHDR ԲiG sRGB pHYs t tf x IDAT8O퓱0 Emf
Y'^ {LїlpH })zRF/5`VKX )dշ"%F)HJp(Pz #s"[ fD1wJVͼiNk'|MtJ/]B)\1Efv!rxXɉP}iU5]Opc' mT IENDB` D d
[
3 A " ì
15cm Z b d <|x2s#? @ : n 8 <|x2s#?PNG
IHDR ԲiG sRGB pHYs t tf x IDAT8O퓱0 Emf
Y'^ {LїlpH })zRF/5`VKX )dշ"%F)HJp(Pz #s"[ fD1wJVͼiNk'|MtJ/]B)\1Efv!rxXɉP}iU5]Opc' mT IENDB`{ D d
\
3 A " ë
15m [ b 8 iv߱.seH/ fQ n iv߱.seH/PNG
IHDR
e sRGB pHYs t tf x IDAT(Sݒ0Yԃ ӬtN` gz'/ lMNS]RЩ' M_. <d3ahY
1\] i-{'ܳNxw8 /zy\S| F=@6G䲐?q IENDB`{ D d
]
3 A " ë
15m \ b 8 iv߱.seH/ g n iv߱.seH/PNG
IHDR
e sRGB pHYs t tf x IDAT(Sݒ0Yԃ ӬtN` gz'/ lMNS]RЩ' M_. <d3ahY
1\] i-{'ܳNxw8 /zy\S| F=@6G䲐?q IENDB` D d
D
^
3 A "J D
15cm3 ] b &B>
IÀ\Þ \~ n &B>
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